How to prove that dielectric constant is independent of dimensions?
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Answer:
The role of dielectric constant ε of a solvent regarding its capability to dissolve ionized solutes was pointed out in Section 4.1 (thedielectric constant is typically given as the relative dielectric constant to vacuum). A higher dielectric constant of the solvent correlates with a higher ability of the solvent to dissolve salts. This property is important when using buffers as eluant in HPLC. The dielectric constant of the solvent also affects interactions in solution that involve ions and polar molecules, decreasing the intermolecular energy when the dielectric constant increases, as shown by several formulas in Sections 4.1 and 4.2. The values of the dielectric constant for several common solvents at 25 oC are given in Table 7.2.1. The dielectric constant also depends on temperature. As an example, the variation of the dielectric constant of water as a function of temperature